Posted - 02/16/2012 : 13:33:29 Smith, Jones, and Rodriquez are the engineer, brakeman, and fireman on a train not necessarily in that order.

Riding on the train are three passengers with the same last names as the crewmembers identified as passenger Smith, passenger Jones, and passenger Rodriquez.

The brakeman lives in Denver. Passenger Rodriquez lives in San Francisco. Passenger Jones long ago forgot all the algebra that he learned in high school. The passenger with the same name as the brakeman lives in New York. The brakeman and one of the passengers, a professor of mathematical physics, attend the same health club. Smith beat the fireman in a game of tennis at a court near their homes. Discover a theorem that tells the name of the engineer, the brakeman, and the fireman.

I don't know what theorem this could possibly be. I think I found the identity of each. Jones is the brakesman, Smith is the engineer, and Rodriquez is the fireman. I just made a chart with the given information. Is my answer correct? Can someone show me how to prove the answer using a geomtry theorem?